Book/Report

FZJ-2018-03120

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Elektronen auf der Kugeloberfläche im magnetischen Monopolfeld : eine Untersuchung der Greensfunktion im White Noise Potential

Günther, R. (Corresponding author)FZJ*

1989
Kernforschungsanlage Jülich, Verlag Jülich

Please use a persistent id in citations: http://hdl.handle.net/2128/18630

Report No.: Juel-2279

Abstract: The disorder averaged Greensfunction of non-interacting electrons in a strong magnetic field is investigated. First the known results for the plane are presented. Reduction to a zero- dimensional system enables to find the exact Greensfunction. The second part generalizes the plane to the surface of a sphere. The unperturbedproblem gives representations of SU(2) for the states of the electrons. Using the symmetries of these functions it is possible to construct the exact solution for upto 4 particles ; the density of states shows very good agreement with the result for N = $\infty$. Perturbative expansion is investigated for arbitrary particle numbers. Each diagram corresponds to a scalar, composed of Clebsch-Gordan-coefficients. In the limit of high energy the leading behavior of the Greensfunction can be isolated. Finally a perturbative expansion of the leading corrections to the result in the plane is given.

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Contributing Institute(s):

1. Publikationen vor 2000 (PRE-2000)

Research Program(s):

1. 899 - ohne Topic (POF3-899) (POF3-899)

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Database coverage:

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